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Finding the Third Proportional to 164,374 and 353,718

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Solution

The third proportional to 164,374 and 353,718 is: 761,169.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,374 : 353,718 = 353,718 : x
  2. Step 2: Convert to fraction form
    164,374/353,718 = 353,718/x
  3. Step 3: Cross multiply
    164,374x = 353,718 × 353,718
  4. Step 4: Simplify right side
    164,374x = 125,116,423,524
  5. Step 5: Solve for x
    x = 125,116,423,524/164,374
  6. Step 6: Final answer
    x = 761,169.18

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.